Description

• Title:
  An example concerning equivariant deformations
• Creator:
  Izydorek, Marek;
  Vidal, Antonio
• Description:
  We give an example of $Z_2$-space $X$ with a property that the identity map $\text{\rm{id}}_X:X\to X$ as well as its restriction to the fixed point set of the group action $\text{\rm{id}}^{Z_2}:X^{Z_2}\to X^{Z_2}$ are deformable to fixed point free maps whereas there is no fixed point free map in the equivariant homotopy class of the identity $[\text{\rm{id}}_X]_{ Z_2}$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 15, No 1 (March 2000); 187 - 190;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.015/10008
• Subject:
  $Z_2$-space;
  equivariant deformations;
  fixed point free maps;
  55P91;
  55M20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.015
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other